Question

Applying Kummer's Theorem to a specific P-adic Number Theory problem

score 242 · Answer 1 · 2026-04-13 09:33:59

242

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Applying Kummer's Theorem to a specific P-adic Number Theory problem

Published on 13 Apr 2026 - 9:33

score 64 · Answer 2 · 2026-04-13 09:25:21

64

Views

Does "if $a \mid b$ and $c \equiv c' \mod b,$ then $c \equiv c' \mod a$" admit any interesting generalizations?

Published on 13 Apr 2026 - 9:25

score 707 · Answer 3 · 2026-04-16 08:24:41

707

Views

$a^n-a + 1 $ divisible by $n$

Published on 16 Apr 2026 - 8:24

score 171 · Answer 4 · 2026-04-17 02:43:26

171

Views

Dirichlet's theorem on products of two primes in arithmetic progressions

Published on 17 Apr 2026 - 2:43

score 102 · Answer 5 · 2026-04-16 06:00:50

102

Views

Why is $f(n) = n + 6 \mod{1729}$ not injective?

Published on 16 Apr 2026 - 6:00

score 32 · Answer 6 · 2026-04-16 02:25:50

32

Views

Solving Congruence Equations \Bbb Z_11

Published on 16 Apr 2026 - 2:25

score 132 · Answer 7 · 2026-05-10 20:58:58

132

Views

What went wrong in this fake proof?

Published on 10 May 2026 - 20:58

score 214 · Answer 8 · 2026-04-17 06:07:15

214

Views

Number theory textbook exercise $11^{n+2} + 12^{2n + 1}$

Published on 17 Apr 2026 - 6:07

score 272 · Answer 9 · 2026-04-15 19:49:17

272

Views

Prove by induction that $Fib_{n} \geq (3/2)^{n-1}$

Published on 15 Apr 2026 - 19:49

score 43 · Answer 10 · 2026-04-17 08:58:24

43

Views

Convergence of arithmetic mean implies the convergence of sequence?

Published on 17 Apr 2026 - 8:58

score 54 · Answer 11 · 2026-04-16 14:15:02

54

Views

$\Pi_{i=1}^{p-1}(i-1)kp + i \equiv -1 \pmod p, k \in \mathbb{Z}$ where $p$ is a prime

Published on 16 Apr 2026 - 14:15

score 219 · Answer 12 · 2026-04-16 22:01:19

219

Views

Divide a set of stones which weigh $1g, 2g, 3g....555g$ into $3$ equal parts

Published on 16 Apr 2026 - 22:01

score 60 · Answer 13 · 2026-04-11 14:04:57

60

Views

What is wrong with my proof here?

Published on 11 Apr 2026 - 14:04

score 266 · Answer 14 · 2026-05-11 02:47:10

266

Views

What is the maximum value of $n$ with average value must be an integer?

Published on 11 May 2026 - 2:47

score 216 · Answer 15 · 2026-04-15 21:13:49

216

Views

Is it true that for every polynomial $P(x)$, there exist an integer $n$ so that $Q(x)=P(x)+n$ is irreducible

Published on 15 Apr 2026 - 21:13

List Question

Applying Kummer's Theorem to a specific P-adic Number Theory problem

Does "if $a \mid b$ and $c \equiv c' \mod b,$ then $c \equiv c' \mod a$" admit any interesting generalizations?

$a^n-a + 1 $ divisible by $n$

Dirichlet's theorem on products of two primes in arithmetic progressions

Why is $f(n) = n + 6 \mod{1729}$ not injective?

Solving Congruence Equations \Bbb Z_11

What went wrong in this fake proof?

Number theory textbook exercise $11^{n+2} + 12^{2n + 1}$

Prove by induction that $Fib_{n} \geq (3/2)^{n-1}$

Convergence of arithmetic mean implies the convergence of sequence?

$\Pi_{i=1}^{p-1}(i-1)kp + i \equiv -1 \pmod p, k \in \mathbb{Z}$ where $p$ is a prime

Divide a set of stones which weigh $1g, 2g, 3g....555g$ into $3$ equal parts

What is wrong with my proof here?

What is the maximum value of $n$ with average value must be an integer?

Is it true that for every polynomial $P(x)$, there exist an integer $n$ so that $Q(x)=P(x)+n$ is irreducible

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